#### DOCUMENTA MATHEMATICA, Vol. Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015), 577-590

David J. Saltman

Finite u Invariant and Bounds on Cohomology Symbol Lengths

In this note we answer a question of Parimala's, showing that fields with finite $u$ invariant have bounds on the symbol lengths in their $\mu_2$ cohomology in all degrees.

2010 Mathematics Subject Classification: 12G05, 11E04

Keywords and Phrases: u invariant, symbol length

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